We analyze an angular dependence of the Wigner time delay near the Cooper minimum (CM) of the sub-valent ns shell in argon, krypton and xenon. Such an angular dependence is a result of interplay between the relativistic and correlation effects. The correlation with the outermost np valence shell induces a CM in the sub-valent ns shell which is otherwise CM free. A phase difference between the two spin–orbit split ionization continua Ep 1/2 and Ep 3/2 makes the Wigner time delay angular dependent. Both these effects are accounted for within relativistic formulations of the random phase approximation and the time-dependent density functional theory. Comparison between these two approaches illustrates a very strong sensitivity of the observed effect to the computation detail, especially the account of the ground state correlation.

中文翻译：

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角度相关的时滞在相关诱导的库珀极小值附近

我们分析了在氩气，k气和氙气中亚价ns壳的Cooper最小值（CM）附近的Wigner时间延迟的角度依赖性。这种角度依赖性是相对论效应和相关效应相互作用的结果。与最外面的np价壳的相关性在亚价ns壳中诱导CM，否则该CM不包含CM。两个自旋轨道分裂电离连续体Ep 1/2和Ep 3/2之间的相位差使维格纳延时与角度相关。在随机相近似和时间相关的密度泛函理论的相对论公式中都说明了这两种影响。两种方法之间的比较说明，观察到的效果对计算细节（尤其是基态相关性的考虑）非常敏感。